
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Transcribed Image Text:Java and C have two ways to declare real values:
float (32 bits) and double (64 bits).
Each of these use the IEEE Floating Point Standard, with the following number of
bits for the sign, exponent and mantissa:
Standard
32-bit (float)
64-bit (double)
float f;
double g;
Sign
1
1
Exponent
8
11
As with integers, we begin with training. The next set of questions assume we have declared the
following Java variables:
Statement
f = 1.0
f = -17.875
g= -0.375
g= 78.3125
Mantissa
23
52
For each row, assuming we set the Java variable to the corresponding value, provide the variable's
binary representation using the IEEE floating point standard. Please provide final answers below,
and show/submit all work on an attached sheet.
IEEE Floating Point Standard
Expert Solution

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Step 1: Introduction
The IEEE floating-point standard is a widely adopted set of rules and formats for representing real numbers in binary form within digital computer systems. It defines the structure of floating-point numbers, specifying the allocation of bits for the sign, exponent, and mantissa, ensuring consistency and interoperability in numerical computations across different hardware and programming languages.
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